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Musical Scales and their Mathematics Karlheinz Schüffler ebook

• Page: 711
• Format: pdf / epub / kindle
• ISBN: 9783662695401
• Publisher: Springer Berlin Heidelberg

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Overview Are musical scales just trivial? This book explores this question, revealing the complexity of creating "harmony" in tonal systems. Why 12 tones? Are there alternatives? Are 12 fifths equal 7 octaves? What is "consonance"? When are intervals "perfect" or "imperfect"? What is meant by "tonal characteristics", "whole tone" and "semitone"? "Ancient tuning" vs potentially new? Answers need thoughtful explanations, revealing interconnectedness. In this context, mathematics is pivotal, explaining...